The following diagrams show thin rods of equal length that are free to rotate about an axis of rotation (pivot point) indicated by the black dot. A force is applied to each thin red as indicated in the diagram. The forces are not drawn to scale. Unless otherwise indicated, you should NOT assume the thin rods have uniform density. A F=25N B F=25N l C F = 35H e=120 .-._ E lF=5EIN 'L/2 'l lsLiz ~l Rate each of the scenarios from least to greatest on the basis of the magnitude of the torque created by the applied force about the indicated axis of rotation (black dot). Least amount of torque Greatest amount of torque 1. 2. 3. 4. 5. 6. Assuming equal moments of inertia for all the thin rods, about the indicated axis of rotation (black dot), rate each of the scenarios from least to greatest on the basis of the thin rod's angular acceleration. Least acceleration Greatest amount of acceleration 1. 2. 3. 4. 5. 6. Assuming equal angular accelerations for each thin rod, rate each of the scenarios from least to greatest on the basis of the moment of inertia of the non-uniform thin rods about the indicated axis of rotation ( black dot). Least moment of inertia Greatest moment of inertia 1. 2. 3. 4. 5. 6. In scenario A above, assume the thin rod DOES have uniform density, a length of 0.5 m and a mass of 0.5 kg. Detem1ine the following: The moment of inertia about the axis of rotation (you may want to refer to your text for this): The torque created by the applied force: The angular acceleration of the thin rod: The time it takes for the rod to achieve an angular velocity of 7'5 revtmin if it starts from rest: The angular velocity of the rod after it has subtended an angle of 150 rad: The distance travelled by a point on the end of the rod after t = 60 s: The angle subtended by the rod while it speeds up to a nal angular velocity of 100 degreests: 1 a.) Calculate the moments of inertia, about their centers-ofmass, for a disk, a hoop, a solid sphere and a hollow sphere each with a mass of 1.5 kg and a radius of 2.5 n1. b.) If a torque of 2 Nm, about the center-ofmass, is applied to each object, and they all start from rest, which object has the greatest angular velocity after 2 seconds